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Income Taxes - Additional Information (Details) - USD ($) $ in Thousands | 12 Months Ended
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Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
Income Tax Disclosure [Abstract] |  |  |
Excess tax benefit related to share-based compensation | $ 1,808 | $ 758 | $ 3,754
Operating Loss Carryforwards [Line Items] |  |  |
Deferred tax assets, valuation allowance | 9,212 | 9,609 |
Increase (decrease) of deferred tax asset valuation allowance | 397 |  |
Foreign tax credits | 368 |  |
Undistributed earnings of foreign subsidiaries | 245,079 |  |
Foreign earnings repatriated | 116,853 |  |
Foreign currency transaction gain | 517 |  |
Portion of foreign earnings repatriated for distribution of shares of foreign subsidiary | 100,765 |  |
Provision for unremitted foreign earnings | 570 |  |
Undistributed earnings of foreign subsidiaries excluding those repatriated back domestically | 223,035 |  |
Estimated withholding liability related to undistributed earnings of foreign subsidiaries | 4,116 |  |
Unrecognized tax benefits that would impact effective tax rate | 9,731 |  |
Income tax penalties and accrued interest from unrecognized tax benefits | 1,704 | 1,600 |
Income tax penalties and interest expense from unrecognized tax benefits | 129 | $ 145 |
Estimated amount of liability for unrecognized tax benefit to be reduced next year | 1,367 |  |
Internal revenue service (IRS) |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Deferred tax assets, valuation allowance | 190 |  |
Domestic tax authority |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Operating loss carryforwards | 2,304 |  |
Interest carryforward | 67 |  |
Foreign tax authority |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Deferred tax assets, valuation allowance | 9,022 |  |
Operating loss carryforwards | 56,537 |  |
Operating loss carryforwards, subject to expiration | 1,499 |  |
State and local jurisdiction |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Operating loss carryforwards | 30,830 |  |
Syntron Material Handling Group, LLC |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Foreign tax credits | $ 120 |  |

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